This season has finally come to an end with the Champions League finale. I really appreciate Inter's high effort in that game also. They did a really solid defending mostly and this caused Manchester City to have much bigger difficulties than normal. Maybe Inter couldn't win the Champions League title for the 4th time in their history but this was still a solid season for them.
Even though they couldn't win the Serie A title also they won 2 titles anyway - Italian Super Cup and Coppa Italia. Being that much competitive for the Champions League should also be considered as success for Inzaghi. Because Inter aren't a regular when it comes to Champions League finals.
Therefore I believe that Inter should keep Inzaghi at least for one more season. He has one more season to go on the contract already though.
